Finite Group Databasebeta

C2×#26044253 #37554708

order23488
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×#26044253

Splittings

SylowC367 ⋊ C2×#125

Subgroups

subgroupG/H
centerC23C22×D367
commutator, cosocleC22×C367C24
FrattiniC22C23×D367
FittingC2×C42×C367C2
socle, prime radicalC23×C367C23
hypercenterC2×C42D367
hypocenterC367C2×#125
LCSG ▷ C22×C367 ▷ C367
UCSC1 ◁ C23 ◁ C2×C42

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 23488

Conjugacy classes & character table

5884 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23488, 1071);